A relationship between Hurst exponents of slip and waiting time data of earthquakes

Chien chih Chen; Ya Ting Lee; Young Fo Chang

doi:10.1016/j.physa.2007.08.063

A relationship between Hurst exponents of slip and waiting time data of earthquakes

Chien chih Chen, Ya Ting Lee, Young Fo Chang

Department of Earth Sciences

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

We propose a new relationship between the slip and waiting time of real earthquake series. We calculated the Hurst exponents for both time series of slip and waiting time of earthquake sequence in Taiwan CWB (Central Weather Bureau) catalogue. Our findings suggest a good correlation with a correlation coefficient of about 0.8 between the two exponents. Such a good correlation is highly similar to the ones expected from time- or slip-predictable earthquake recurrence models and suggests that the recurrence of real seismicity could be reduced to the time- or slip-predictability in certain sense. This paper, thus, initiates a new direction re-considering earthquake recurrence.

Original language	English
Pages (from-to)	4643-4648
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	387
Issue number	18
DOIs	https://doi.org/10.1016/j.physa.2007.08.063
State	Published - 15 Jul 2008

Keywords

Approximate solution
Inverse function
Inverse function theorem
Lipschitz function
Subdifferential

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10.1016/j.physa.2007.08.063

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title = "A relationship between Hurst exponents of slip and waiting time data of earthquakes",

abstract = "We propose a new relationship between the slip and waiting time of real earthquake series. We calculated the Hurst exponents for both time series of slip and waiting time of earthquake sequence in Taiwan CWB (Central Weather Bureau) catalogue. Our findings suggest a good correlation with a correlation coefficient of about 0.8 between the two exponents. Such a good correlation is highly similar to the ones expected from time- or slip-predictable earthquake recurrence models and suggests that the recurrence of real seismicity could be reduced to the time- or slip-predictability in certain sense. This paper, thus, initiates a new direction re-considering earthquake recurrence.",

keywords = "Approximate solution, Inverse function, Inverse function theorem, Lipschitz function, Subdifferential",

author = "Chen, {Chien chih} and Lee, {Ya Ting} and Chang, {Young Fo}",

note = "Funding Information: This work was supported by the Department of Earth Sciences, NCU, and the National Science Council, ROC, as well. YTL thanks the NSC for their support to the undergraduate-joined project NSC 93-2815-C-008-013-M. Thanks are also extended to an anonymous reviewer for largely improving the manuscript. Part of this work was completed by CCC when he was at UC Davis as a visiting scholar under a grant (NSC 43077F) from the NSC. ",

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AU - Chen, Chien chih

AU - Lee, Ya Ting

AU - Chang, Young Fo

N1 - Funding Information: This work was supported by the Department of Earth Sciences, NCU, and the National Science Council, ROC, as well. YTL thanks the NSC for their support to the undergraduate-joined project NSC 93-2815-C-008-013-M. Thanks are also extended to an anonymous reviewer for largely improving the manuscript. Part of this work was completed by CCC when he was at UC Davis as a visiting scholar under a grant (NSC 43077F) from the NSC.

PY - 2008/7/15

Y1 - 2008/7/15

N2 - We propose a new relationship between the slip and waiting time of real earthquake series. We calculated the Hurst exponents for both time series of slip and waiting time of earthquake sequence in Taiwan CWB (Central Weather Bureau) catalogue. Our findings suggest a good correlation with a correlation coefficient of about 0.8 between the two exponents. Such a good correlation is highly similar to the ones expected from time- or slip-predictable earthquake recurrence models and suggests that the recurrence of real seismicity could be reduced to the time- or slip-predictability in certain sense. This paper, thus, initiates a new direction re-considering earthquake recurrence.

AB - We propose a new relationship between the slip and waiting time of real earthquake series. We calculated the Hurst exponents for both time series of slip and waiting time of earthquake sequence in Taiwan CWB (Central Weather Bureau) catalogue. Our findings suggest a good correlation with a correlation coefficient of about 0.8 between the two exponents. Such a good correlation is highly similar to the ones expected from time- or slip-predictable earthquake recurrence models and suggests that the recurrence of real seismicity could be reduced to the time- or slip-predictability in certain sense. This paper, thus, initiates a new direction re-considering earthquake recurrence.

KW - Approximate solution

KW - Inverse function

KW - Inverse function theorem

KW - Lipschitz function

KW - Subdifferential

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DO - 10.1016/j.physa.2007.08.063

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VL - 387

SP - 4643

EP - 4648

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 18

ER -

A relationship between Hurst exponents of slip and waiting time data of earthquakes

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Keywords

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